Answer
The vertical components cancel when B is subtracted from A. The direction of the horizontal component of B is reversed due to the subtraction, and so the vector resulting from the subtraction is in the direction of the horizontal component of A; that is, to the left. The horizontal components of each vector have the same magnitude, which is about 3.9 cm; so the magnitude of D is about 7.9 cm.
Work Step by Step
The vertical components cancel when B is subtracted from A. The direction of the horizontal component of B is reversed due to the subtraction, and so the vector resulting from the subtraction is in the direction of the horizontal component of A; that is, to the left. The horizontal components of each vector have the same magnitude, which is about 3.9 cm; so the magnitude of D is about 7.9 cm.
